Answer:
7.1
Explanation:
This seems to be a case of using the Pythagorean Theorem. I'm assuming, based on the layout, that 16cm refers to the hypotenuse of the top triangle.
First, we must find the hypotenuse of the lower triangle. 6^2 is 36, and 13^2 is 169, and adding them both gets 205. Therefore, the hypotenuse is
. This may be able to be simplified, I'm not sure, but I'm going to leave it as is.
Next, we use this hypotenuse to find the value of y on the top triangle. y is the length of a leg, so we need to do the Pythagorean Theorem in reverse, subtracting instead of adding.
16^2 is 256, and
squared is just 205, so then we subtract the leg squared from the hypotenuse squared. 256 - 205 = 51, meaning y =
. In decimal form, and rounded to one decimal place, that would be 7.1.
Hope this helps! Let me know if you have any questions :D